1255085040 has 160 divisors (see below), whose sum is σ = 4267584000. Its totient is φ = 302607360.

The previous prime is 1255085021. The next prime is 1255085047. The reversal of 1255085040 is 405805521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1255084989 and 1255085007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255085047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524166 + ... + 526554.

It is an arithmetic number, because the mean of its divisors is an integer number (26672400).

Almost surely, 2^1255085040 is an apocalyptic number.

1255085040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133792000).

1255085040 is an abundant number, since it is smaller than the sum of its proper divisors (3012498960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1255085040 is a wasteful number, since it uses less digits than its factorization.

1255085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 1255085040 is about 35427.1793966158. The cubic root of 1255085040 is about 1078.6760869411.

The spelling of 1255085040 in words is "one billion, two hundred fifty-five million, eighty-five thousand, forty".